symbolically solve an integral of ArcSinh[..]
- To: mathgroup at smc.vnet.net
- Subject: [mg7809] symbolically solve an integral of ArcSinh[..]
- From: pknaus at psap73.cern.ch (Patrick KNAUS)
- Date: Sat, 12 Jul 1997 02:45:51 -0400
- Organization: CERN, European Laboratory for Particle Physics
- Sender: owner-wri-mathgroup at wolfram.com
could you please help me with the following problem:
I try to integrate symbolically
Integrate[ArcSinh[(a-Sqrt[b^2-x^2])/(c-x)],x] where a,b,c=const
but don't obtain any solution using Mathematica 2.2 and 3.0. I tried some
equivalent formulations of the integrand like
ArcSinh[z]=-I ArcSin[I z]
where z is the argument of ArcSinh in the integral: without success. Are
there any tricks you could suggest me to try out, any nice substitution?
I suspect the solution to contain some elliptic integrals.
From: Patrick Knaus
To: mathgroup at smc.vnet.net
CERN, Division PS Email: Patrick.Knaus at cern.ch
CH-1211 Geneva 23 Tel: +41-22-767.2593
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